Question

question given parallelogram qrst below, qu = 81, ru = -7x - 3, solve for x. answer attempt 1 out of 2 submit answer

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, \( QU = US \).

Step2: Set up the equation

Given \( QU = 81 \) and \( US=-7x - 3 \), we have the equation \( 81=-7x - 3 \).

Step3: Solve the equation for \( x \)

Add \( 3 \) to both sides of the equation: \( 81 + 3=-7x-3 + 3 \), which simplifies to \( 84=-7x \).
Divide both sides by \( -7 \): \( x=\frac{84}{-7} \).

Answer:

\( x = - 12 \)